Question 172
Recent years have been expressed as addition, subtraction and multiplication of numbers with the same and single digit; For example: $$
2009=7 \times 7 \times 7 \times 7-7 \times 7 \times 7-7 \times 7, \quad 2010=66 \times 6 \times 6-66 \times 6+6 \times 6-6
$$ Can the same thing be done with 2011, without ever repeating the same addition? For example, $2011=1+1+1+\ldots$ is not admissible.
2009=7 \times 7 \times 7 \times 7-7 \times 7 \times 7-7 \times 7, \quad 2010=66 \times 6 \times 6-66 \times 6+6 \times 6-6
$$ Can the same thing be done with 2011, without ever repeating the same addition? For example, $2011=1+1+1+\ldots$ is not admissible.